Some Properties and Zero-Dimensionality of Fuzzy Metric Spaces

Abstract

#This research aims to study the concepts of closure, endpoints, and boundary of sets in ambiguous metric spaces. The research followed an experimental methodology and consisted of an introduction, two chapters, and a conclusion. The first chapter explained the adopted methodology, experimental procedures, and presented some topological characteristics and concepts of zero dimension. The second chapter focused on identifying the small inductive dimension in the ambiguous metric space. The conclusion included the main findings, including the recognition that the discrete zero dimension is applicable in certain metric spaces.